This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here is the solution to the problem from the image: 20. (c) The diagram shows a right-angled triangular prism. Work out the volume of the prism. Step 1: Calculate the area of the triangular base. The base of the prism is a right-angled triangle with a base of 7 cm and a height of 4 cm. The formula for the area of a triangle is A = (1)/(2) × base × height. A_base = (1)/(2) × 7 cm × 4 cm A_base = (1)/(2) × 28 cm^2 A_base = 14 cm^2 Step 2: Calculate the volume of the prism. The formula for the volume of a prism is V = Area of base × Length. The length of the prism is given as 12 cm. V = 14 cm^2 × 12 cm V = 168 cm^3 The volume of the prism is 168 cm^3. What's next?